کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634226 1340688 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The construction of rational iterative methods for solving nonlinear equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The construction of rational iterative methods for solving nonlinear equations
چکیده انگلیسی

In this paper, based on the idea of constructing iterative methods by Sharma [J.R. Sharma, A family of third-order methods to solve nonlinear equations, Appl. Math. Comput. 184 (2007) 210–215], Jiang and Han [Dongdong Jiang, Danfu Han, Some one-parameter families of third-order methods for solving nonlinear equations, Appl. Math. Comput. 195 (2008) 392–396], we propose some rational iterative methods by linearizing the quadratic curve equation. By analysis of asymptotic errors, we prove the new families are all cubically convergent. As an example, we present a new concrete iterative family with better convergent performance than classic third-order methods through the adjustment of parameter λnλn automatically.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 802–808
نویسندگان
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